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Beliebt Rechnen >

derivative of arcsin(1+2x^2)

Lösung

\frac{d}{d x} (arcsin (1 + 2 x^{2}))

Lösung

\frac{2 2}{- 2 x ^{2} - 2}

Schritte zur Lösung

\frac{d}{d x} (arcsin (1 + 2 x^{2}))

Wende die Kettenregel an:

\frac{1}{1 - ( 1 + 2 x ^{2} ) ^{2}} \frac{d}{d x} (1 + 2 x^{2})

= \frac{1}{1 - ( 1 + 2 x ^{2} ) ^{2}} \frac{d}{d x} (1 + 2 x^{2})

\frac{d}{d x} (1 + 2 x^{2}) = 4 x

= \frac{1}{1 - ( 1 + 2 x ^{2} ) ^{2}} \cdot 4 x

Vereinfache

\frac{1}{1 - ( 1 + 2 x ^{2} ) ^{2}} \cdot 4 x : \frac{2 2}{- 2 x ^{2} - 2}

= \frac{2 2}{- 2 x ^{2} - 2}

Graph

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